Computing the indices of Sturm-Liouville eigenvalues for coupled boundary conditions (the EIGENIND-SLP codes) The main purpose of the EIGENIND-SLP codes is to compute the indices of known eigenvalues of self-adjoint Sturm-Liouville problems with coupled boundary conditions (BCs). The spectrum of the problems can be unbounded from both below and above. Using some recent theoretical results, the computation is converted to that of the indices of the same eigenvalues for appropriate separated BCs, and is then carried out in terms of the Pr”ufer angle. The algorithm so generated and its implementation are discussed, and numerous examples are presented to illustrate the theoretical results and various aspects of the implementation.
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References in zbMATH (referenced in 4 articles )
Showing results 1 to 4 of 4.
- Kurochkin, S. V.: Existence conditions of negative eigenvalues in the regular Sturm-Liouville boundary value problem and explicit expressions for their number (2018)
- Wang, Gui-Xia; Sun, Jiong: A new method of solving the index problem for Sturm-Liouville eigenvalues (2015)
- Wang, Zhong; Wu, Hongyou: The index problem for eigenvalues for coupled boundary conditions and Fulton’s conjecture (2009)
- Wang, Guixia; Wang, Zhong; Wu, Hongyou: Computing the indices of Sturm-Liouville eigenvalues for coupled boundary conditions (the EIGENIND-SLP codes) (2008)